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Finding the Fourth Proportional to 11,107.40, 16,646.70 and 9,811.40

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Solution

The fourth proportional to 11,107.40, 16,646.70 and 9,811.40 is: 14,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.40 : 16,646.70 = 9,811.40 : x
  2. Step 2: Convert to fraction form
    11,107.40/16,646.70 = 9,811.40/x
  3. Step 3: Cross multiply
    11,107.40x = 16,646.70 × 9,811.40
  4. Step 4: Simplify right side
    11,107.40x = 163,327,432.38
  5. Step 5: Solve for x
    x = 163,327,432.38/11,107.40
  6. Step 6: Final answer
    x = 14,704.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.